Proof of the Kontsevich non-commutative cluster positivity conjecture. (English. French summary) Zbl 1266.16028

Rupel, Dylan

C. R., Math., Acad. Sci. Paris 350, No. 21-22, 929-932 (2012).

Summary: We extend the Lee-Schiffler Dyck path model to give a proof of the Kontsevich non-commutative cluster positivity conjecture with unequal parameters.

MSC:

16S38	Rings arising from noncommutative algebraic geometry
37F10	Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
13F60	Cluster algebras

Keywords:

Kontsevich cluster conjecture; iterations of rational maps; noncommutative Laurent polynomials; lattice paths

References:

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